87417330 has 256 divisors, whose sum is σ = 292626432. Its totient is φ = 16128000.

The previous prime is 87417311. The next prime is 87417353. The reversal of 87417330 is 3371478.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 87417291 and 87417300.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1231195 + ... + 1231265.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 2^87417330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87417330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146313216).

87417330 is an abundant number, since it is smaller than the sum of its proper divisors (205209102).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87417330 is a wasteful number, since it uses less digits than its factorization.

87417330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 87417330 is about 9349.7235253242. The cubic root of 87417330 is about 443.8121415322.

The spelling of 87417330 in words is "eighty-seven million, four hundred seventeen thousand, three hundred thirty".